Three athletes

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

Correct answer:

t =  2772 s
t2 =  46.2 min

Step-by-step explanation:

a=252 s b=308 s c=198 s  252=22327 308=22711 198=23211 LCM(252,308,198)=2232711=2772  t=LCM(a,b,c)=LCM(252,308,198)=2772 s
t2=t min=t:60  min=2772:60  min=46.2 min=46.2 min

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